SDRIS: The Geometric Origin of the Proton Mass and the Strong Force

Abstract: The origin of the proton mass and the precise value of the Strong Coupling Constant ($\alpha_s$) remain two of the most significant open questions in the Standard Model. Current QCD lattice calculations approximate these values but do not derive them from first geometric principles. This paper presents a solution within the Static-Dynamic Recursive Information Space (SDRIS) framework. Building on the derivation of the Fine-Structure Constant and the Hubble Parameter in Paper 111, we demonstrate that the proton is not an arbitrary assembly of quarks, but the stable volumetric closure of the vacuum's $N=26$ spacetime lattice. We identify the proton geometry as a 6-dimensional Phase Space Torus ($V = 6\pi^5$). By applying the Golden Damping Factor ($\Phi^{-7}$) derived from the vacuum's scalar field, we predict the Proton-Electron Mass Ratio ($\mu$) with unprecedented precision: $$\mu = 6\pi^5 + \Phi^{-7} \approx 1836.15255$$ This theoretical value matches the CODATA 2018 benchmark ($1836.15267$) with a precision of 99.99999%, requiring zero free parameters. Furthermore, we show that the Strong Interaction is not a fundamental force, but the geometric pressure required to maintain this toroidal stability against the vacuum's cubic expansion: $$\alpha_s(M_Z) = \frac{1}{2\Phi^3} \approx 0.1180$$ Supplementary Material: This dataset includes the SDRIS Hadron Calculator (v1.0) (Python Jupyter Notebook), which allows for the numerical verification of the derived mass ratios and coupling constants, as well as the generation of the topological 3D-visualizations (Proton Torus).